33032123130000 has 400 divisors, whose sum is σ = 109211620294656. Its totient is φ = 8595854400000.

The previous prime is 33032123129977. The next prime is 33032123130001. The reversal of 33032123130000 is 3132123033.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×33032123130000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33032123130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1484778877 + ... + 1484801123.

Almost surely, 2^{33032123130000} is an apocalyptic number.

33032123130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33032123130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54605810147328).

33032123130000 is an abundant number, since it is smaller than the sum of its proper divisors (76179497164656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33032123130000 is a wasteful number, since it uses less digits than its factorization.

33032123130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23472 (or 23451 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33032123130000 its reverse (3132123033), we get a palindrome (33035255253033).

The spelling of 33032123130000 in words is "thirty-three trillion, thirty-two billion, one hundred twenty-three million, one hundred thirty thousand".